Signatures of chaos in squeezed quantum kicked tops

Quantum systems with the classical analogue in the chaotic region like kicked tops, have been found to experience enhancement in entanglement rates. The idea of spin squeezing is to reduce the quantum fluctuations in one component of the system at the sacrifice of increasing the other components. In...

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Main Author: Ong, Ernest Teng Siang
Other Authors: Chew Lock Yue
Format: Final Year Project
Language:English
Published: 2015
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Online Access:http://hdl.handle.net/10356/64752
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-647522023-02-28T23:16:38Z Signatures of chaos in squeezed quantum kicked tops Ong, Ernest Teng Siang Chew Lock Yue School of Physical and Mathematical Sciences DRNTU::Science::Physics Quantum systems with the classical analogue in the chaotic region like kicked tops, have been found to experience enhancement in entanglement rates. The idea of spin squeezing is to reduce the quantum fluctuations in one component of the system at the sacrifice of increasing the other components. In this project, we have brought these two ideas together, by applying the quadratic squeeze operator on the quantum kicked top and measuring the entanglement of the system. Our results show that spin squeezing enhances the entanglement of kicked tops that are stable while reducing the entanglement of chaotic kicked tops. The hypothesis that we have come up with to explain this difference in the effect of entanglement is that the variance of the states are altered to a point where the initial state are no longer confined fully in the sea of chaos or stable island regions. We also proposed a new technique to enhance entanglement through periodic squeezing of the quantum kicked tops that are not fully chaotic. This results in the maximum entanglement achievable to be higher. We believe that these methods can be employed experimentally in order to improve and enhance entanglement in quantum systems. Bachelor of Science in Physics 2015-06-02T07:40:05Z 2015-06-02T07:40:05Z 2015 2015 Final Year Project (FYP) http://hdl.handle.net/10356/64752 en 104 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics
spellingShingle DRNTU::Science::Physics
Ong, Ernest Teng Siang
Signatures of chaos in squeezed quantum kicked tops
description Quantum systems with the classical analogue in the chaotic region like kicked tops, have been found to experience enhancement in entanglement rates. The idea of spin squeezing is to reduce the quantum fluctuations in one component of the system at the sacrifice of increasing the other components. In this project, we have brought these two ideas together, by applying the quadratic squeeze operator on the quantum kicked top and measuring the entanglement of the system. Our results show that spin squeezing enhances the entanglement of kicked tops that are stable while reducing the entanglement of chaotic kicked tops. The hypothesis that we have come up with to explain this difference in the effect of entanglement is that the variance of the states are altered to a point where the initial state are no longer confined fully in the sea of chaos or stable island regions. We also proposed a new technique to enhance entanglement through periodic squeezing of the quantum kicked tops that are not fully chaotic. This results in the maximum entanglement achievable to be higher. We believe that these methods can be employed experimentally in order to improve and enhance entanglement in quantum systems.
author2 Chew Lock Yue
author_facet Chew Lock Yue
Ong, Ernest Teng Siang
format Final Year Project
author Ong, Ernest Teng Siang
author_sort Ong, Ernest Teng Siang
title Signatures of chaos in squeezed quantum kicked tops
title_short Signatures of chaos in squeezed quantum kicked tops
title_full Signatures of chaos in squeezed quantum kicked tops
title_fullStr Signatures of chaos in squeezed quantum kicked tops
title_full_unstemmed Signatures of chaos in squeezed quantum kicked tops
title_sort signatures of chaos in squeezed quantum kicked tops
publishDate 2015
url http://hdl.handle.net/10356/64752
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